Create a linear function that has a rate of change of -3 and a solution at (5,2)

Mathematics

1 answer:

jeyben [28]3 years ago

8 0

Answer:

y = - 3x + 17

Step-by-step explanation:

Note that slope is a measure of the rate of change of a linear function.

Express the function in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

here m = - 3, thus

y = - 3x + c ← is the partial equation

To find c substitute (5, 2) into the partial function

2 = - 15 + c ⇒ c = 2 + 15 = 17

y = - 3x + 17 ← is the linear function

You might be interested in

To find the amount of interest Jesse will pay to borrow money, you can use the formula I = PRT. I = interest; P = principal; R =

Cerrena [4.2K]

Answer: A $2000

Step-by-step explanation:

Interest = prt / 100

= 5000 x .08 x 5

= 2000

5 0

3 years ago

Find the inequality represented in the graph.

Digiron [165]

Answer: y > -1/2x + 2

Step-by-step explanation: first, in order to find the inequalities you should find the gradient by choosing two points from the line and you should you the formula m=y2-y1/x2-x1 to find the gradient.

Next, you should find the y-intercept in order to complete the inequality it can be easily found as the y-intercept is the place where the line crosses the y axis

Then you create your equation { y = -1/2x + 2 } and then if above the line is shaded then it is {> greater than} and if below the line is shaded then it should be {< less than}

(so you should replace the equation with the lesser or greater sign according to the way the graph is shaded)

7 0

2 years ago

What does reflecting over each axis do to a function algebra 2

love history [14]

Gggggghhhhhbhhjnjjnjjjjjjjjjjjjjkk

6 0

3 years ago

Sameera predicted that she would sell 38 blankets, but she actually sold 28 blankets. Which expression would find the percent er

antoniya [11.8K]

Solution: We are given:

Predicted Sales by Sameera $=38$